Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
186801	Solve for h	-3(h+5)+2=4(h+6)-9	$- 3 (h + 5) + 2 = 4 (h + 6) - 9$
186802	Solve for x	1+x/(x+1)=1/(x^2+x)	$1 + \frac{x}{x + 1} = \frac{1}{x^{2} + x}$
186803	Find the Sum and Product of the Roots of the Quadratic Equation	x^2-81=0	$x^{2} - 81 = 0$
186804	Find All Complex Solutions	-2cos(x)^2=cos(x)-1	$- 2 \cos^{2} (x) = \cos (x) - 1$
186805	Simplify	(x+8)/(x^2)*(2x+16)/(2x^2)	$\frac{x + 8}{x^{2}} \cdot \frac{2 x + 16}{2 x^{2}}$
186806	Find the Domain and Range	f(x)=3/(cos(4x))	$f (x) = \frac{3}{\cos (4 x)}$
186807	Combine Like Terms	(x+2)(x+2)	$(x + 2) (x + 2)$
186808	Graph	g(x)=f(-1/3x)	$g (x) = f (- \frac{1}{3} x)$
186809	Solve for y	W=2yZ+2yX	$W = 2 y Z + 2 y X$
186810	Find the Domain and Range	y=5-2x	$y = 5 - 2 x$
186811	Simplify	(3^5)÷(3^3)	$3^{5} \div 3^{3}$
186812	Evaluate	sec((2pi)/3)^2	$\sec^{2} (\frac{2 π}{3})$
186813	Find the Distance Between Two Points	(4,2) and (1,-2)	$(4, 2)$ and $(1, - 2)$
186814	Find the x and y Intercepts	f(x)=-5x+x^2	$f (x) = - 5 x + x^{2}$
186815	Evaluate	10/(0.20(1-0.20))	$\frac{10}{0.2 (1 - 0.2)}$
186816	Solve for x	1/(x^2)+1/x=1/(2x^2)	$\frac{1}{x^{2}} + \frac{1}{x} = \frac{1}{2 x^{2}}$
186817	Graph	y=e^2	$y = e^{2}$
186818	Simplify	(-x^2-3x+10)(x^2+x+1)	$(- x^{2} - 3 x + 10) (x^{2} + x + 1)$
186819	Solve for b	\|b+3\|=\|2b-2\|	$\| b + 3 \| = \| 2 b - 2 \|$
186820	Graph	y<2 y>x	$y < 2$ $y > x$
186821	Find the Holes in the Graph	(4x+8)/(x^2+2x)	$\frac{4 x + 8}{x^{2} + 2 x}$
186822	Solve for u	u^2=-9u	$u^{2} = - 9 u$
186823	Solve for x	3+5x-kx=y	$3 + 5 x - k x = y$
186824	Divide	(3x^2)÷3	$3 x^{2} \div 3$
186825	Solve the System of Equations	x+y=6 y=2x	$x + y = 6$ $y = 2 x$
186826	Graph	\|8-2p\|>=2	$\| 8 - 2 p \| \geq 2$
186827	Find the x and y Intercepts	f(x) = square root of 4x+1-4	$f (x) = \sqrt{4 x + 1} - 4$
186828	Solve the System of Equations	x+y+z=4 x=-2y z=-3y	$x + y + z = 4$ $x = - 2 y$ $z = - 3 y$
186829	Graph	f(x)=a^2	$f (x) = a^{2}$
186830	Solve for a	a=a/b+3	$a = \frac{a}{b} + 3$
186831	Write in Standard Form	(x-5)(2x+3)=7	$(x - 5) (2 x + 3) = 7$
186832	Solve for x	x/4-(x+20)/15=1/2	$\frac{x}{4} - \frac{x + 20}{15} = \frac{1}{2}$
186833	Expand the Logarithmic Expression	log base b of 7x*2y	$\log_{b} (7 x \cdot 2 y)$
186834	Solve for x	log base 4 of 2x^2-4x=2	$\log_{4} (2 x^{2} - 4 x) = 2$
186835	Evaluate	z^-11*z^-15	$z^{- 11} \cdot z^{- 15}$
186836	Factor	(x^2-3x)	$(x^{2} - 3 x)$
186837	Write in Slope-Intercept Form	y-5=-1/3(x+3)	$y - 5 = - \frac{1}{3} (x + 3)$
186838	Graph	f(x)=4 if x<=3; 2 if x>3	$f (x) = {\begin{cases} 4 & x \leq 3 \\ 2 & x > 3 \end{cases}$
186839	Find the Excluded Values	(2x+6)/(4x-8)	$\frac{2 x + 6}{4 x - 8}$
186840	Multiply	(1/2a^2-3/5b^2-3/4ab)(2/3ab^2)	$(\frac{1}{2} a^{2} - \frac{3}{5} b^{2} - \frac{3}{4} a b) (\frac{2}{3} a b^{2})$
186841	Evaluate	4/7(2/3)^2-1/9	$\frac{4}{7} {(\frac{2}{3})}^{2} - \frac{1}{9}$
186842	Graph	f(x)=x if x!=0; 2 if x=0	$f (x) = {\begin{cases} x & x \neq 0 \\ 2 & x = 0 \end{cases}$
186843	Graph	y<-1/2x+2	$y < \frac{- 1}{2} x + 2$
186844	Solve for c	p(x)=-x^3+cx^2-4x+3	$p (x) = - x^{3} + c x^{2} - 4 x + 3$
186845	Find the Distance Between Two Points	(-2,5) and (-8,-3)	$(- 2, 5)$ and $(- 8, - 3)$
186846	Graph	f(x)=x^2-2 , x>=0	$f (x) = x^{2} - 2$ , $x \geq 0$
186847	Solve for x	(x^2+6x)^(1/3)=3	${(x^{2} + 6 x)}^{\frac{1}{3}} = 3$
186848	Solve for x	1/2+x=2/3	$\frac{1}{2} + x = \frac{2}{3}$
186849	Find the Quotient	(x^3-2x^2-7)÷(x+2)	$(x^{3} - 2 x^{2} - 7) \div (x + 2)$
186850	Find the Product	(ab+3)(ab-3)	$(a b + 3) (a b - 3)$
186851	Multiply	(10x^3y^4)/(8x^3y^3)*(12x^4y)/(11x^3y^2)	$\frac{10 x^{3} y^{4}}{8 x^{3} y^{3}} \cdot \frac{12 x^{4} y}{11 x^{3} y^{2}}$
186852	Solve the Inequality for z	1/2z+1/3z>=7/12z-1/4	$\frac{1}{2} z + \frac{1}{3} z \geq \frac{7}{12} z - \frac{1}{4}$
186853	Subtract	4/(m+3)-(9m)/(m+6)	$\frac{4}{m + 3} - \frac{9 m}{m + 6}$
186854	Divide Using Long Polynomial Division	(4x^4-3x^3+5x^2-x+3)/(3x^2-4x+6)	$\frac{4 x^{4} - 3 x^{3} + 5 x^{2} - x + 3}{3 x^{2} - 4 x + 6}$
186855	Solve for x	12^(3x+4)<=2^(5x+3)*3^(2x-1)	$12^{3 x + 4} \leq 2^{5 x + 3} \cdot 3^{2 x - 1}$
186856	Solve the System of Equations	-x+y+2z=-3 3x-y+z=-2 2x-3y-4z=1	$- x + y + 2 z = - 3$ $3 x - y + z = - 2$ $2 x - 3 y - 4 z = 1$
186857	Simplify	(1-25/(x^2))/((x^2)/25+x/5)	$\frac{1 - \frac{25}{x^{2}}}{\frac{x^{2}}{25} + \frac{x}{5}}$
186858	Write in Standard Form	-2x-3=y	$- 2 x - 3 = y$
186859	Graph Using a Table of Values	f(x) = square root of x-5-1	$f (x) = \sqrt{x - 5} - 1$
186860	Evaluate	2cos(15 degrees )^2-1	$2 \cos^{2} (15 °) - 1$
186861	Find the x and y Intercepts	f(x)=7x^3+7x+4+9x^2	$f (x) = 7 x^{3} + 7 x + 4 + 9 x^{2}$
186862	Solve for x	7/(x+5)=10/5	$\frac{7}{x + 5} = \frac{10}{5}$
186863	Multiply	(4x^3y^5z)(6x^5y^4z)	$(4 x^{3} y^{5} z) (6 x^{5} y^{4} z)$
186864	Simplify	3x^2(4x^3y)	$3 x^{2} (4 x^{3} y)$
186865	Solve for x	(x^2+24x)^(1/4)=3	${(x^{2} + 24 x)}^{\frac{1}{4}} = 3$
186866	Evaluate	2cos((3pi)/4)	$2 \cos (\frac{3 π}{4})$
186867	Evaluate	2(-n-3)-7(5+2n)	$2 (- n - 3) - 7 (5 + 2 n)$
186868	Find the Roots (Zeros)	(2x^3+7x^2-10x-24)/(x+4)	$\frac{2 x^{3} + 7 x^{2} - 10 x - 24}{x + 4}$
186869	Simplify	(x^(7/2))/(x^3)	$\frac{x^{\frac{7}{2}}}{x^{3}}$
186870	Solve the Inequality for x	(8x)/(x+9)>=0	$\frac{8 x}{x + 9} \geq 0$
186871	Find the Fourth Term	-3/5 , 6/5 , -12/5	$- \frac{3}{5}$ , $\frac{6}{5}$ , $- \frac{12}{5}$
186872	Write in Standard Form	4y^2-9x^2-54x+8y-81=0	$4 y^{2} - 9 x^{2} - 54 x + 8 y - 81 = 0$
186873	Write Using Negative Exponents	x^2-4	$x^{2} - 4$
186874	Solve for x	-3+3x=-2(x+1)	$- 3 + 3 x = - 2 (x + 1)$
186875	Evaluate	15÷(-3)+(5\|-2\|)÷(-5)	$15 \div (- 3) + 5 \| - 2 \| \div (- 5)$
186876	Simplify	1/5 square root of 75xy^2z^3	$\frac{1}{5} \sqrt{75 x y^{2}} z^{3}$
186877	Simplify	(x-1)/(15x+12)+(8-2x)/(15x+12)	$\frac{x - 1}{15 x + 12} + \frac{8 - 2 x}{15 x + 12}$
186878	Write in Standard Form	(2k^3+6k+1)-(2k^2+1)	$(2 k^{3} + 6 k + 1) - (2 k^{2} + 1)$
186879	Simplify	((x^3+2^3)/(x^2-2x))/(((x+2)^3)/(x^2+4x+4))	$\frac{\frac{x^{3} + 2^{3}}{x^{2} - 2 x}}{\frac{{(x + 2)}^{3}}{x^{2} + 4 x + 4}}$
186880	Simplify	x/(x-3)*(2x)/(x+5)	$\frac{x}{x - 3} \cdot \frac{2 x}{x + 5}$
186881	Solve the Inequality for x	x^2-2x+1<=0	$x^{2} - 2 x + 1 \leq 0$
186882	Solve for x	-4^x+1=3x-4	$- 4^{x} + 1 = 3 x - 4$
186883	Find the Exact Value	cos(75 degrees )^2-sin(75 degrees )^2	$\cos^{2} (75 °) - \sin^{2} (75 °)$
186884	Graph	f(x)=-2x-8 if x<-3; x-10 if x>5	$f (x) = {\begin{cases} - 2 x - 8 & x < - 3 \\ x - 10 & x > 5 \end{cases}$
186885	Write in Standard Form	(-5v^3-9v^2+6v)-(-5v^3+9v^2-6v)	$(- 5 v^{3} - 9 v^{2} + 6 v) - (- 5 v^{3} + 9 v^{2} - 6 v)$
186886	Write the Fraction in Simplest Form	arctan(tan((11pi)/12))	$\arctan (\tan (\frac{11 π}{12}))$
186887	Solve the System of Equations	-2y=4x-4 and 7x=-4y+10	$- 2 y = 4 x - 4$ and $7 x = - 4 y + 10$
186888	Simplify	((k^2-2k)/3)÷((k-2)/k)	$\frac{k^{2} - 2 k}{3} \div \frac{k - 2}{k}$
186889	Simplify	(x-4)/(x^2-2x)+4/(x^2-4)	$\frac{x - 4}{x^{2} - 2 x} + \frac{4}{x^{2} - 4}$
186890	Solve by Completing the Square	x^2+23x+111=11x	$x^{2} + 23 x + 111 = 11 x$
186891	Find the Exact Value	16^(-3/4)	$16^{- \frac{3}{4}}$
186892	Simplify	((3x^5yz^-1)/(15x^2y^6z^3))^-2	${(\frac{3 x^{5} y z^{- 1}}{15 x^{2} y^{6} z^{3}})}^{- 2}$
186893	Graph	A=pir^2	$A = π r^{2}$
186894	Solve for y	30y-25=9y^2	$30 y - 25 = 9 y^{2}$
186895	Multiply	(x+i)(x-i)	$(x + i) (x - i)$
186896	Solve for a	(x+a)^2=b	${(x + a)}^{2} = b$
186897	Multiply	[[2,4,-3],[6,1,0]]*[[-3,2],[-2,3],[-8,5]]	$[\begin{array}{c} 2 & 4 & - 3 \\ 6 & 1 & 0 \end{array}] \times [\begin{array}{c} - 3 & 2 \\ - 2 & 3 \\ - 8 & 5 \end{array}]$
186898	Solve for x	log base x+4 of 3x^2-4x+2=2	$\log_{x + 4} (3 x^{2} - 4 x + 2) = 2$
186899	Divide	10.12÷(10^5)	$10.12 \div 10^{5}$
186900	Evaluate the Function	f(x)=2x^5-3x^4-9x^3+8x^2+2 at x=-3	$f (x) = 2 x^{5} - 3 x^{4} - 9 x^{3} + 8 x^{2} + 2$ at $x = - 3$